{"cells":[{"cell_type":"code","execution_count":78,"metadata":{},"outputs":[],"source":["# 画图初始化\n","%matplotlib inline\n","import matplotlib.pyplot as plt\n","import matplotlib\n","matplotlib.use(\"TKAgg\")\n","plt.style.use([\"science\",\"grid\",\"no-latex\",\"cjk-sc-font\"])\n","plt.rcParams[\"font.sans-serif\"]=['KaiTi']\n","plt.rcParams[\"axes.unicode_minus\"]=False\n","plt.rcParams[\"figure.figsize\"] = (15.2, 8.8)\n","fontdict = {\"fontsize\": 15}"]},{"cell_type":"code","execution_count":79,"metadata":{},"outputs":[],"source":["import numpy as np"]},{"cell_type":"code","execution_count":80,"metadata":{},"outputs":[],"source":["# from scipy.interpolate import interp1d\n","\n","# -------------------任务 1-------------------\n","def interpolate_lagrange(xs: list, ys: list):\n","    \"\"\"\n","    Lagrange插值\n","    :param xs, ys: 插值条件\n","    :return 插值函数\n","    \"\"\"\n","    assert len(xs) == len(ys), \"xs, ys 的长度需要相等\"\n","    n = len(ys)\n","\n","    def do_interpolate(x: float) -> float:\n","        ret = 0.\n","        for k in range(n):\n","            tmp = 1.\n","            for j in range(n):\n","                if k != j:\n","                    tmp *= (x - xs[j]) / (xs[k] - xs[j])\n","            ret += ys[k] * tmp\n","        return ret\n","\n","    return do_interpolate"]},{"cell_type":"code","execution_count":81,"metadata":{},"outputs":[{"name":"stdout","output_type":"stream","text":["11.75 的近似值是 2.4639\n"]},{"data":{"image/png":"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","text/plain":["<Figure size 1094.4x633.6 with 1 Axes>"]},"metadata":{"needs_background":"light"},"output_type":"display_data"}],"source":["# -------------------任务 2-------------------\n","xs = [10, 11, 12, 13]\n","ys = [2.3026, 2.3979, 2.4849, 2.5649]\n","x = 11.75\n","interpolate_func = interpolate_lagrange(xs, ys)\n","print(f\"{x} 的近似值是 {round(interpolate_func(x), 4)}\")\n","\n","x_res = np.linspace(xs[0], xs[-1], 10000)\n","y_res = np.array([interpolate_func(x) for x in x_res])\n","\n","plt.title(\"插值函数图像\")\n","plt.plot(x_res, y_res, \"g\")\n","plt.scatter(xs, ys, color=\"purple\", marker=\"*\")\n","plt.xlabel(r\"$x$\")\n","plt.ylabel(r\"$f(x)$\")\n","plt.legend([\"插值函数曲线\", \"插值条件\"])\n","plt.show()"]},{"cell_type":"code","execution_count":82,"metadata":{},"outputs":[{"data":{"image/png":"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","text/plain":["<Figure size 1094.4x633.6 with 1 Axes>"]},"metadata":{"needs_background":"light"},"output_type":"display_data"}],"source":["# -------------------任务 3-------------------\n","def real_func(x: float) -> float:\n","    return 5 / (1 + x ** 2)\n","\n","\n","x_res = np.linspace(-5, 5, 10000)\n","real_res = np.array([real_func(x) for x in x_res])\n","\n","n = 5\n","xs = list(np.linspace(-5, 5, n))\n","ys = [real_func(x) for x in xs]\n","interpolate_func = interpolate_lagrange(xs, ys)\n","y_res = np.array([interpolate_func(x) for x in x_res])\n","\n","plt.title(\"n = 5 时插值函数图像\")\n","plt.plot(x_res, y_res, \"g\")\n","plt.plot(x_res, real_res, \"purple\")\n","plt.scatter(xs, ys, color=\"b\", marker=\"*\")\n","plt.xlabel(r\"$x$\")\n","plt.ylabel(r\"$f(x)$\")\n","plt.legend([\"插值函数曲线\", \"真实函数曲线\", \"插值条件\"])\n","plt.show()"]},{"cell_type":"code","execution_count":83,"metadata":{},"outputs":[{"data":{"image/png":"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","text/plain":["<Figure size 1094.4x633.6 with 1 Axes>"]},"metadata":{"needs_background":"light"},"output_type":"display_data"}],"source":["n = 10\n","xs = list(np.linspace(-5, 5, n))\n","ys = [real_func(x) for x in xs]\n","interpolate_func = interpolate_lagrange(xs, ys)\n","y_res = np.array([interpolate_func(x) for x in x_res])\n","\n","plt.title(\"n = 10 时插值函数图像\")\n","plt.plot(x_res, y_res, \"g\")\n","plt.plot(x_res, real_res, \"purple\")\n","plt.scatter(xs, ys, color=\"b\", marker=\"*\")\n","plt.xlabel(r\"$x$\")\n","plt.ylabel(r\"$f(x)$\")\n","plt.legend([\"插值函数曲线\", \"真实函数曲线\", \"插值条件\"])\n","plt.show()"]}],"metadata":{"kernelspec":{"display_name":"Python 3","language":"python","name":"python3"},"language_info":{"codemirror_mode":{"name":"ipython","version":3},"file_extension":".py","mimetype":"text/x-python","name":"python","nbconvert_exporter":"python","pygments_lexer":"ipython3","version":"3.10.2"}},"nbformat":4,"nbformat_minor":2}
